Self cup products and the theta characteristic torsor

We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing.

Bibliographic Details
Main Authors: Poonen, Bjorn, Rains, Eric
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: International Press 2013
Online Access:http://hdl.handle.net/1721.1/81276
https://orcid.org/0000-0002-8593-2792